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Question-97355




Question Number 97355 by bagjamath last updated on 07/Jun/20
Commented by PRITHWISH SEN 2 last updated on 07/Jun/20
=lim_(n→∞)   ((π/(n+1))+(π/(n+1))+......+(π/(n+1)) ntimes )  =lim_(n→∞)   (π/(1+(1/n))) = π
$$=\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\:\left(\frac{\pi}{\mathrm{n}+\mathrm{1}}+\frac{\pi}{\mathrm{n}+\mathrm{1}}+……+\frac{\pi}{\mathrm{n}+\mathrm{1}}\:\mathrm{ntimes}\:\right) \\ $$$$=\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\:\frac{\pi}{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{n}}}\:=\:\pi \\ $$

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